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Ch 13: PLACE Mathematics: Inequalities

About This Chapter

Watch this series of lesson videos on inequalities, linear inequalities, compound inequalities, quadratic inequalities and systems of inequalities as you prepare for the PLACE Mathematics teachers' certification exam.

PLACE Mathematics: Inequalities - Chapter Summary

This chapter on inequalities will help you prepare for the Program for Licensing Assessment for Colorado Educators (PLACE) Mathematics exam by explaining the different forms of inequalities and systems of inequalities, and how to solve and graph them. The expert instructors of this chapter take you through the principles and functions of inequalities so that afterward you will have an understanding of:

  • What inequalities are
  • How to solve linear inequalities
  • Graphing one- and two-variable inequalities
  • Systems of inequalities and set notation
  • Finding and graphing the absolute value of an inequality
  • Solving and graphing quadratic inequalities and systems of quadratic inequalities

Take lesson quizzes to help reinforce the material you learn and find out what to review before taking the PLACE Mathematics. When reviewing the material, the video timelines can take you directly to key topics in the lessons. This chapter also includes lesson transcripts that highlight key terms in an easy-to-read format. Be sure to ask our instructors to answer any questions you may have while completing this chapter, so that you can effectively master inequalities.

PLACE Mathematics: Inequalities Objectives

PLACE Mathematics is the paper-based certification exam use to certify math teachers in the state of Colorado. Test takers are given four and a half hours to complete a series of multiple-choice questions. Learning to understand inequalities will prepare you for questions on linear and quadratic functions. These question are a subset of the questions on the functions and relations in mathematics that make up one of the five subareas of the exam.

8 Lessons in Chapter 13: PLACE Mathematics: Inequalities
Test your knowledge with a 30-question chapter practice test
What is an Inequality?

1. What is an Inequality?

Deciding how to spend your money can be a tricky thing. Should you save it, invest it, or enjoy it? Learn how inequalities can help you make your decision!

Solving Linear Inequalities: Practice Problems

2. Solving Linear Inequalities: Practice Problems

Linear inequalities may look intimidating, but they're really not much different than linear equations. In this lesson, we'll practice solving a variety of linear inequalities.

How to Graph 1- and 2-Variable Inequalities

3. How to Graph 1- and 2-Variable Inequalities

So an inequality is just an equation with a less than or greater than symbol. But what is the difference between 1 and 2 variable inequalities? What does have a greater than or equal to symbol change? When do you use a number line instead of a coordinate plane? Get those answers here!

Set Notation, Compound Inequalities, and Systems of Inequalities

4. Set Notation, Compound Inequalities, and Systems of Inequalities

In this lesson, we'll explore the conditions of compound inequalities and learn how to express them using set notation and interval notation. Test you knowledge afterward with a short quiz.

The Absolute-Value Inequality: Definition & Example

5. The Absolute-Value Inequality: Definition & Example

After watching this video lesson, you will be able to solve absolute value inequalities. Learn how you can easily set up your problem to successfully solve your problem each and every time.

How to Solve and Graph an Absolute Value Inequality

6. How to Solve and Graph an Absolute Value Inequality

Taking two skills and combining them to make a more complicated problem is a classic tactic in mathematics. If you feel confident with absolute values and inequalities, see if you can tackle them with their powers combined here!

Graphing & Solving Quadratic Inequalities: Examples & Process

7. Graphing & Solving Quadratic Inequalities: Examples & Process

When you finish watching this video lesson, you will be able to graph and solve your own quadratic inequality. Learn what steps you need to take and what to watch for.

Graphing a System of Quadratic Inequalities: Examples & Process

8. Graphing a System of Quadratic Inequalities: Examples & Process

What is a system of quadratic inequalities? What are the steps to graphing them? Find the answers to these questions by watching this video lesson. When you finish, you will be able to graph these yourself.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the PLACE Mathematics: Practice & Study Guide course

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